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IMAS 2017 — Upper Primary Grades 5–6 — Round 2 Question 15

IMAS · IMAS 2017 — Upper Primary Grades 5–6 — Round 2

Question 15

Some chess pieces are put on a $8\times8$ chess board, with at most 1 piece in each square. After taking all pieces on any chosen 4 rows and 4 columns, there is at least 1 piece left on the board. Find the least number of pieces originally on the board.

Question illustration